Least Common Multiple of 625/214, 2069/304

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

Know Least Common Multiple of fractions 625/214, 2069/304 quickly i.e. 1293125/2 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 625/214, 2069/304 is 1293125/2.

LCM(625/214, 2069/304) = 1293125/2

LCM of 625/214, 2069/304

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 625/214,2069/304

Given numbers are 625/214,2069/304

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 625,2069

Least Common Multiple of Numerators i.e. LCM of 625,2069 is 1293125.

GCF of Denominators means GCF of 214,304 as per the given fractions.

GCF of 214,304 is 2 as it is the largest common factor for these numbers.

Lets's calculate LCM of 625,2069

LCM of Fractions 625/214,2069/304 is 1293125/2

Given numbers has no common factors except 1. So, there LCM is their product i.e 1293125

Least Common Multiple of 625,2069 with GCF Formula

Least Common Multiple of 625,2069 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 625,2069 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(625,2069) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(625,2069) x common factors =1 x 1 = 1

LCM(625,2069) = ( 625 × 2069 ) / 1

LCM(625,2069) = 1293125 / 1

LCM(625,2069) = 1293125


Lets's calculate GCF of 214,304

2 214, 304
107, 152

∴ So the GCF of the given numbers is 2 = 2

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 1293125/2

Therefore the LCM of Fractions 625/214,2069/304 is 1293125/2

Greatest Common Factor of 214,304 By Matching Biggest Common Factor Method

Greatest Common Factor of 214,304 By Matching Biggest Common Factor Method

Factors of 214

List of positive integer factors of 214 that divides 214 without a remainder.

1,2,107,214

Factors of 304

List of positive integer factors of 304 that divides 304 without a remainder.

1,2,4,8,16,19,38,76,152,304

Greatest Common Factor

We found the factors 214,304 . The biggest common factor number is the GCF number.
So the greatest common factor 214,304 is 2.


LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

LCM of Fractions Calculation Examples

Here are some samples of LCM of Fractions calculations.

Frequently Asked Questions on Fractional LCM of 625/214, 2069/304

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 625/214, 2069/304?

Answer: LCM of Numerators as per given numbers 625/214, 2069/304 is

LCM of Numerators i.e. for 625,2069 is 1293125

GCF of denominators i.e. for 214,304 is 2.

Thus, LCM of Fractions is 1293125/2.Finally, LCM of Fractions for 625/214, 2069/304 is 1293125/2.